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20242026
most citedLevel-set topology optimisation with unfitted finite elements and automatic shape differentiation

7 citations · 14 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.NA2026

Geometric multigrid preconditioners for unfitted discretisations of the de Rham complex

Santiago Badia, Jordi Manyer

We propose two families of multigrid preconditioners for unfitted finite element discretisations of the Riesz maps of the de Rham complex, in H(grad), H(curl) and H(div), stabilise…

math.NA2026

Rotating bases for finite element exterior calculus: closed-form change of basis under vertex permutations

Santiago Badia, Jordi Manyer, Antoine Marteau

The geometrically decomposed bases of the polynomial differential form spaces and on a simplex are products of a barycentric scalar polynomi…

cs.CE2026

Topology optimisation of adsorption beds for cost-effective direct air capture

Connor Mallon, Aaron Thornton, Matthew Hill +2

The performance of adsorption systems is sensitive to the geometry of the adsorbent. To achieve feasibility for large-scale implementation of CO2 direct air capture systems in line…

math.NA2026

An intrinsic finite element framework for scalar- and vector-valued partial differential equations on general manifolds

Tamara A. Tambyah, Alberto F. Martín, David Lee +1

We present an intrinsic finite element framework for the numerical approximation of scalar- and vector-valued partial differential equations on general manifolds described by atlas…

math.NA2026

GridapGeosciences.jl: A Julia finite element package for partial differential equations on general manifolds

Tamara A. Tambyah, Alberto F. Martín, David Lee +1

We present GridapGeosciencesjl, a new parallel distributed-memory Julia package for the numerical approximation of partial differential equations on general manifolds. Our abstr…